The brain of each one of us is a network composed of hundreds of billions of neurons. A total or hundreds of trillions of synapses connect these neurons and transmit electrical signals from one cell to another. In reaction to stimulus, waves of electrical activity traverse the network of neurons, processing the incoming stimulus signal. Tools provided by the field of mathematics called algebraic topology enable us to detect and describe the rich structure hidden in this dynamic tapestry.

During this talk, I will guide you on a mathematical mystery tour of what topology has revealed about how the brain processes information.